\documentclass{article}

\usepackage{../../util}

\title{Groups}
\author{Cambridge University Mathematical Tripos: Part IA}

\begin{document}
\maketitle

\tableofcontentsnewpage{}

\section{Axiomatic definition}
\input{01_axiomatic_definition.tex}
\section{Homomorphisms}
\input{02_homomorphisms.tex}
\section{Types of groups}
\input{03_types_of_groups.tex}
\section{Permutation groups}
\input{04_permutation_groups.tex}
\section{M\"obius transformations}
\input{05_m_obius_transformations.tex}
\section{Cosets and Lagrange's theorem}
\input{06_cosets_and_lagrange_s_theorem.tex}
\section{Normal subgroups and quotients}
\input{07_normal_subgroups_and_quotients.tex}
\section{Isomorphism theorems}
\input{08_isomorphism_theorems.tex}
\section{Group actions}
\input{09_group_actions.tex}
\section{Conjugation}
\input{10_conjugation.tex}
\section{Action of the M\"obius group}
\input{11_action_of_the_m_obius_group.tex}
\section{Matrix groups}
\input{12_matrix_groups.tex}
\section{Groups of order 8}
\input{13_groups_of_order_8.tex}

\end{document}
